In-line holograms of particle fields are rich in their data content, and therefore analysis of such holograms is complex. Conventionally, such analysis is carried out by focusing on the particles in the reconstructed three-dimensional image of the original volume. This task is tedious, even if it is carried out by automated means. Analysis methods that eliminate the need for focusing are far more efficient. In the presented method a signal-processing approach, Wigner analysis, is applied directly to the holograms without any reconstruction. The Wigner distribution, which is a space-frequency representation, gives the three-dimensional locations of small particles quite accurately. The proposed method is implemented digitally, and the results are shown.
© 1992 Optical Society of America
Original Manuscript: December 27, 1990
Revised Manuscript: August 7, 1991
Manuscript Accepted: August 23, 1991
Published: February 1, 1992
Levent Onural and Mehmet Tankut Özgen, "Extraction of three-dimensional object-location information directly from in-line holograms using Wigner analysis," J. Opt. Soc. Am. A 9, 252-260 (1992)